“The games which can be built up from the simple idea of dots and lines... can be a productive source of teaching material. After all, s provided the Pythagoreans and neo-Pythagoreans with important theorems... It is well worth while... looking at the games played by the undeveloped peoples of the world. ...These ...are much closer to reality than... sophisticated and expensive forms of entertainment... which... choke the natural initiative... Simple mathematical games ...stimulate initiative and suggest other games which children can invent for themselves... For children, life is naturally simple. Let us not complicate it for them sooner than is necessary, least of all in our teaching of mathematics... which already has enough complications of its own.”
“Because of white racism's ability to bludgeon us into believing that we are inferior beings and therefore incapable of learning math and the sciences, we must spend a significant amount of our learnin...”
Mathematics education
“By the beginning of the seventeenth century we may say that the fundamental principles of arithmetic, algebra, theory of equations, and trigonometry had been laid down, and the outlines of the subject...”
Mathematics education
“All the modern higher mathematics is based on a calculus of operations, on laws of thought. All mathematics, from the first, was so in reality; but the evolvers of the modern higher calculus have know...”
Mathematics education
“The author holds that our school curricula, by stripping mathematics of its cultural content and leaving a bare skeleton of technicalities, have repelled many a fine mind. It is the aim of this book t...”
Mathematics education
“Although there is no study which presents so simple a beginning as that of geometry, there is none in which difficulties grow more rapidly as we proceed, and what may appear at first rather paradoxica...”
Mathematics education